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Finding the Fourth Proportional to 154,339.63, 231,524.63 and 47,719.43

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Solution

The fourth proportional to 154,339.63, 231,524.63 and 47,719.43 is: 71,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,339.63 : 231,524.63 = 47,719.43 : x
  2. Step 2: Convert to fraction form
    154,339.63/231,524.63 = 47,719.43/x
  3. Step 3: Cross multiply
    154,339.63x = 231,524.63 × 47,719.43
  4. Step 4: Simplify right side
    154,339.63x = 11,048,223,025.51
  5. Step 5: Solve for x
    x = 11,048,223,025.51/154,339.63
  6. Step 6: Final answer
    x = 71,583.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.